diff --git a/thunderbird.spec b/thunderbird.spec
index 7a1c4d8..5affaf1 100644
--- a/thunderbird.spec
+++ b/thunderbird.spec
@@ -143,14 +143,19 @@ License:        MPLv1.1 or GPLv2+ or LGPLv2+
 ExcludeArch:    %{ix86}
 %endif
 %if 0%{?rhel} == 8
+  # Started to ship on aarch64 in RHEL 8.2, on s390x in RHEL 8.3
   %if %{rhel_minor_version} == 1
-ExcludeArch:    %{ix86} aarch64 s390x
+ExcludeArch:    %{ix86} s390x aarch64
   %else
+    %if %{rhel_minor_version} == 2
+ExcludeArch:    %{ix86} s390x
+    %else
 ExcludeArch:    %{ix86}
+    %endif
   %endif
 %endif
 %if 0%{?rhel} == 7
-ExcludeArch:    aarch64 s390 ppc
+ExcludeArch:    aarch64 s390 ppc ppc64
 %endif
 
 # We can't use the official tarball as it contains some test files that use